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Author: Joseph Landin
Publisher: Courier Corporation
Published: 2012-08-29
Total Pages: 275
ISBN-13: 0486150410
DOWNLOAD EBOOK →This self-contained text covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.
Author: FLORENTIN SMARANDACHE
Publisher: Infinite Study
Published:
Total Pages: 5
ISBN-13:
DOWNLOAD EBOOK →New notions are introduced in algebra in order to better study the congruences in number theory.
Author: George R. Kempf
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 174
ISBN-13: 3322802787
DOWNLOAD EBOOK →In algebra there are four basic structures: groups, rings, fields and modules. In this book the theory of these basic structures is presented and the laws of composition - the basic operations of algebra - are studied. Essentially, no previous knowledge is required, it is only assumed as background that the reader has learned some linear algebra over the real numbers.Dieses Lehrbuch, verfasst von einem anerkannten amerikanischen Mathematiker, ist eine unkonventionelle Einführung in die Algebra. Es gibt vier grundlegende Strukturen in der Algebra: Gruppen, Ringe, Körper und Moduln. Das Buch behandelt die Theorie dieser Strukturen und beschreibt die Verknüpfungsregeln, die grundlegenden Operationen der Algebra. Die Darstellung ist elementar: es werden nur Kenntnisse der Linearen Algebra vorausgesetzt, weitere Fachkenntnisse sind nicht erforderlich.
Author: Larry J. Gerstein
Publisher: W H Freeman & Company
Published: 1987-01-01
Total Pages: 413
ISBN-13: 9780716718048
DOWNLOAD EBOOK →Provides a brief but substantial introduction to ideas, structures and techniques in discrete mathematics and abstract algebra. It addresses many of the common mathematical needs of students in mathematics and computer science at undergraduate level.
Author: Palash B. Pal
Publisher: Cambridge University Press
Published: 2019-05-23
Total Pages: 717
ISBN-13: 1108492207
DOWNLOAD EBOOK →Algebraic structures including vector space, groups, topological spaces and more, all covered in one volume, showing the mutual connections.
Author: Ichiro Satake
Publisher: Princeton University Press
Published: 2014-07-14
Total Pages: 340
ISBN-13: 1400856809
DOWNLOAD EBOOK →This book is a comprehensive treatment of the general (algebraic) theory of symmetric domains. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
Published: 2009-01-01
Total Pages: 141
ISBN-13: 1599730855
DOWNLOAD EBOOK →We study these new Smarandache algebraic structures, which are defined as structures which have a proper subset which has a weak structure.A Smarandache Weak Structure on a set S means a structure on S that has a proper subset P with a weaker structure.By proper subset of a set S, we mean a subset P of S, different from the empty set, from the original set S, and from the idempotent elements if any.A Smarandache Strong Structure on a set S means a structure on S that has a proper subset P with a stronger structure.A Smarandache Strong-Weak Structure on a set S means a structure on S that has two proper subsets: P with a stronger structure, and Q with a weaker structure.
Author: Sergei Silvestrov
Publisher: Springer Nature
Published: 2020-06-18
Total Pages: 976
ISBN-13: 3030418502
DOWNLOAD EBOOK →This book explores the latest advances in algebraic structures and applications, and focuses on mathematical concepts, methods, structures, problems, algorithms and computational methods important in the natural sciences, engineering and modern technologies. In particular, it features mathematical methods and models of non-commutative and non-associative algebras, hom-algebra structures, generalizations of differential calculus, quantum deformations of algebras, Lie algebras and their generalizations, semi-groups and groups, constructive algebra, matrix analysis and its interplay with topology, knot theory, dynamical systems, functional analysis, stochastic processes, perturbation analysis of Markov chains, and applications in network analysis, financial mathematics and engineering mathematics. The book addresses both theory and applications, which are illustrated with a wealth of ideas, proofs and examples to help readers understand the material and develop new mathematical methods and concepts of their own. The high-quality chapters share a wealth of new methods and results, review cutting-edge research and discuss open problems and directions for future research. Taken together, they offer a source of inspiration for a broad range of researchers and research students whose work involves algebraic structures and their applications, probability theory and mathematical statistics, applied mathematics, engineering mathematics and related areas.
Author: Serge Lang
Publisher: Addison-Wesley Longman
Published: 1967
Total Pages: 192
ISBN-13:
DOWNLOAD EBOOK →Author: Stephan Foldes
Publisher: John Wiley & Sons
Published: 2011-02-14
Total Pages: 362
ISBN-13: 1118031431
DOWNLOAD EBOOK →Introduces and clarifies the basic theories of 12 structural concepts, offering a fundamental theory of groups, rings and other algebraic structures. Identifies essentials and describes interrelationships between particular theories. Selected classical theorems and results relevant to current research are proved rigorously within the theory of each structure. Throughout the text the reader is frequently prompted to perform integrated exercises of verification and to explore examples.
